Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 3289, 3296 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3289 and 3296 is 1.
GCF(3289,3296) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3289
11 | 3289 |
13 | 299 |
23 | 23 |
1 |
Prime factors of 3289 are 11,13,23. Prime factorization of 3289 in exponential form is:
3289 = 111×131×231
Prime Factorization of 3296
2 | 3296 |
2 | 1648 |
2 | 824 |
2 | 412 |
2 | 206 |
103 | 103 |
1 |
Prime factors of 3296 are 2,103. Prime factorization of 3296 in exponential form is:
3296 = 25×1031
∴ So by taking common prime factors GCF of 3289 and 3296 is 1
Factors of 3289
List of positive integer factors of 3289 that divides 3289 without a remainder.
1,11,13,23,143,253,299,3289
Factors of 3296
List of positive integer factors of 3296 that divides 3296 without a remainder.
1,2,4,8,16,32,103,206,412,824,1648,3296
Greatest Common Factor
We found the factors and prime factorization of 3289 and 3296. The biggest common factor number is the GCF number.
So the greatest common factor 3289 and 3296 is 1.
Also check out the Least Common Multiple of 3289 and 3296
(i) The GCF of 3289 and 3296 is associative
GCF of 3289 and 3296 = GCF of 3296 and 3289
1. What is the GCF of 3289 and 3296?
Answer: GCF of 3289 and 3296 is 1.
2. What are the Factors of 3289?
Answer: Factors of 3289 are 1, 11, 13, 23, 143, 253, 299, 3289. There are 8 integers that are factors of 3289. The greatest factor of 3289 is 3289.
3. What are the Factors of 3296?
Answer: Factors of 3296 are 1, 2, 4, 8, 16, 32, 103, 206, 412, 824, 1648, 3296. There are 12 integers that are factors of 3296. The greatest factor of 3296 is 3296.
4. How to Find the GCF of 3289 and 3296?
Answer:
Greatest Common Factor of 3289 and 3296 = 1
Step 1: Find the prime factorization of 3289
3289 = 11 x 13 x 23
Step 2: Find the prime factorization of 3296
3296 = 2 x 2 x 2 x 2 x 2 x 103
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 3289 and 3296 is 1